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Equations in Burnside groups

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arxiv 2112.07409 v2 pith:ILPKSIK7 submitted 2021-12-14 math.GR

Rémi Coulon , Zlil Sela This is my paper · ORCID
classification math.GR
keywords groupsperiodicequationsapplicationarticleautomorphismburnsideco-hopf
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This article is a first step in the study of equations in periodic groups. As an application, we study the structure of periodic quotients of hyperbolic groups. We investigate for instance the Hopf and co-Hopf properties, the isomorphism problem, the existence of free splittings, etc. We also consider the automorphism group of such periodic groups.

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Cited by 1 Pith paper

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  1. Power quotients of surface groups and mapping class groups

    math.GR 2025-07 conditional novelty 8.0 of 10

    For sufficiently large n, the automorphism and outer automorphism groups of the n-power quotient of a hyperbolic surface group are isomorphic to the corresponding power quotients of the extended mapping class group, a...

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